Videos

Imaging in Random Waveguides I

Presenter
August 25, 2010
Keywords:
  • scattering theory
  • inverse problems
  • image analysis
  • radars and antennae
  • communication theory
  • information theory
  • engineering applications
MSC:
  • 35R30
  • 35R25
  • 35Rxx
  • 35-xx
  • 94A08
  • 94A13
  • 94Axx
  • 94-xx
  • 81Q37
  • 94A14
Abstract
I will discuss the problem of imaging sources/scatterers in random waveguides using measurements of the acoustic pressure field recorded at a remote array of sensors, over some time window. By random waveguides we mean that the wave speed has rapid fluctuations, that cause wave scattering and a significant loss of coherence of the wavefield at the array. I will present an asymptotic theory of wave propagation in such waveguides developed by W. Kohler, G. Papanicolaou and J. Garnier. Then, I will explain how we have used this theory to develop robust imaging methods in random waveguides. In particular, I will present a novel incoherent imaging approach, based on a a special form of transport equations arising in the theory mentioned above, to determine in a statistically stable manner the location of sources in the waveguide and statistical information about the wave speed fluctuations.